See this FAQ on part-year state returns.
FAQ: How do I file a part-year state return?
https://ttlc.intuit.com/community/state-taxes/help/how-do-i-file-a-part-year-state-return/00/26057
In that FAQ you'll see that TurboTax recommends the following:
"We suggest you prepare the return for your former state first, followed by the return for the state you currently live in.
Important: If you also see a nonresident state return in the State section, complete that return before you work on your part-year return(s) to ensure your tax credits are calculated correctly."
